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Question
The sum of x4 – xy + 2y2 and –x4 + xy + 2y2 is ______.
Options
Monomial and polynomial in y
Binomial and Polynomial
Trinomial and polynomial
Monomial and polynomial in x
Solution
The sum of x4 – xy + 2y2 and –x4 + xy + 2y2 is monomial and polynomial in y.
Explanation:
Consider the given equation, x4 – xy + 2y2 and –x4 + xy + 2y2
Sum of two expressions = (x4 – xy + 2y2) + (–x4 + xy + 2y2)
= x4 – xy + 2y2 – x4 + xy + 2y2
= (x4 – x4) + (–xy + xy) + (2y2 + 2y2)
= 0 + 0 + 4y2
= 4y2
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